Search a number
-
+
12372000000 = 283561031
BaseRepresentation
bin10111000010110110…
…11011110100000000
31011221020002201102020
423201123123310000
5200314213000000
65403354521440
7615406156563
oct134133336400
934836081366
1012372000000
115279742798
122493436280
131222251579
148551b44da
154c6252ba0
hex2e16dbd00

12372000000 has 252 divisors, whose sum is σ = 41198847648. Its totient is φ = 3296000000.

The previous prime is 12371999863. The next prime is 12372000001. The reversal of 12372000000 is 27321.

It is a hoax number, since the sum of its digits (15) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12372000001) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 11999485 + ... + 12000515.

Almost surely, 212372000000 is an apocalyptic number.

12372000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12372000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20599423824).

12372000000 is an abundant number, since it is smaller than the sum of its proper divisors (28826847648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12372000000 is an frugal number, since it uses more digits than its factorization.

12372000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

Adding to 12372000000 its reverse (27321), we get a palindrome (12372027321).

The spelling of 12372000000 in words is "twelve billion, three hundred seventy-two million", and thus it is an aban number.